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Finding the Fourth Proportional to 875.13, 1,312.20 and 772.62

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Solution

The fourth proportional to 875.13, 1,312.20 and 772.62 is: 1,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.13 : 1,312.20 = 772.62 : x
  2. Step 2: Convert to fraction form
    875.13/1,312.20 = 772.62/x
  3. Step 3: Cross multiply
    875.13x = 1,312.20 × 772.62
  4. Step 4: Simplify right side
    875.13x = 1,013,831.96
  5. Step 5: Solve for x
    x = 1,013,831.96/875.13
  6. Step 6: Final answer
    x = 1,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.